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107 points
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“something doesn’t add up”

yes it does. that’s exactly what it is you’re describing. all of it adding up. as always people struggle with exponential growth because it’s not very intuitive.

my favorite way to demonstrate the unintuitive nature of exponential growth is this question:

there’s a pond, and a lily pad on it. the number of lily pads double every day on the pond. so on day 1 there’s one, day 2 there’s two, and on day 3 there’s four… etc.

if it takes 120 days for the pond to get completely covered in lily pads, what day was only half of it covered?

!the answer is 119.!<

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29 points
8 points

thanks, i love that story.

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-21 points

Are you some kind of bot or something?

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12 points

I recognized that this user is willing to share information and provided the standard teaching method on exponential growth; in the event they need to explain it again. I suppose critical thinking and social skills are characteristics of bots these days…

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5 points

You’ve deleted your response to me but it’s still in my inbox… and it’s hilariously pretentious and pedantic. I understand why you’ve deleted it.

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22 points

If it takes 120 days to be covered thats a huge fucking pond.

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11 points

that is purposeful. it wouldn’t make much of a point if it took 10 days.

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7 points

I mean sure it would? That’s rhe whole point is that exponential growth quickly reaches massive quantities. Like literally after 120 days I doubt that many lilypads would fit on earth.

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7 points

Nah just really small Lily pads

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7 points
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The pond is the Pacific Ocean.

Let’s see…2^120 is 1.329•10^36 lily pads. Say 15cm diameter for a lily pad, that’s got an area of 177cm^2. That’s 10.3•10^38 cm^2.

The surface area of the Pacific Ocean is only 1.652•10^18 cm^2.

We’re boned.

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2 points
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I don’t disagree with your explanation of exponential growth or how it does answer for the speed at which we went from, say the magnifying glass to the hubble space telescope.

However, the exponential growth alone model does have a floor: it presumes that there was some kind of push, drive or want for progress. Like, as if there was a destination we’re supposed to end up at and its just a case of how long it took to get there. It excludes the idea that people might not have wanted to.

People didn’t want to toil all day in someone else’s farm. In smaller numbers, on good land, people didn’t have to do very much to get the food they needed. Its only when farming became developed and consistent enough that those living there had the numbers to go kill the people who lived on the good land.

Once we’d been, for all intense and purpose, domesticated by grain, “progress” was inevitable.

Another example would be the industrial revolution. People ask why it was so much faster here in the UK than France. It wasn’t because of a desire for progress. Its that French people had a natural aversion to being worked for 12 hours a day in hell-like factories and workhouses. I mean, British people did too but they had mostly just been kicked off the common land they had lived on for centuries. So, they had no other place to go and begging and not having a job for more than three days was made illegal, punishable by being sent to to workhouses. At one points, they had more British soldiers fighting the riots at home than they had fighting napoleon.

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4 points

my comment referred to knowledge more than anything. the more you know, the more you have to go from to learn new things. incredibly simplistic summary for very complex phenomena, but I wasn’t going to go through the entire human history. there are breaking points and regression stages, but generally speaking it makes sense that the more you progress, the faster you can progress further. you have more tools.

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1 point

Not entirely true, England just had a shit ton of trade from its colonies, and better trade led to more intense interconnection, and wealth which in the developing industrial method of production led to an explosion of capital. It was to the point the Rhodes (Rhodesia the British colony was named after him) called expansion an existential question for England, because the explosion of capital had to go somewhere. What’s nuts about capital is that it produces more capital using ever more advanced industries and methods of production. England with massive markets and capital available was able to do this to an insane degree. But still, France is something like the third wealthiest nation after US and England, so they did not do too bad for themselves, and their capital still had a field day in Africa. Highly recommend reading Marx or Lenin on imperialism, it’s legit the whole Marxist thesis how modern industry came about, and for Marx, he literally wrote Capital based on data in England. It’s absolutely fascinating how society and the economy entered a seismic shift with the advent of Captialism

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1 point

None of that explains the difference in time it took for each country to industrialise. For it to, would be to claim it was capitalism itself that did so, meaning the claim is that it wouldn’t have happened were it not for capitalism which wouldn’t be right.

Thanks but I’ve read das kapital too and, you’ll find on reflection, that, far from refuting what i said, it corroborates it fully. In particular, the chapters where he talks about the acts of enclosure. Around chapter 26 or 27, if I remember correctly.

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